Question

An order for 160 of a product is processed on work centers A and B. The setup time on A is 30 minutes, and run time is ten minutes per piece. The setup time on B is 40 minutes, and the run time is six minutes per piece. The move time between A and B is ten minutes. There is no queue at either workstation Calculate the total manufacturing lead time for the order Select one: O O O O O A. 2340 minutes. B. 2490 minutes. C. None of them D. 2530 minutes. E 2430 minutes. An order for 150 of a product is processed on work centers A and B. The setup time on A is 30 minutes, and run time is 10 minutes per piece The setup time on B is 50 minutes, and the run time is 5 minutes per piece. The move time between A and B is 10 minutes. There is no queue at either workstation. It is decided to overlap operations A and B by splitting the lot by L1 and L2 units, respectfully with lot L1 units be processed first. After L1 units are finished in A they will be immediately shifted to B while A is continuously processing the remaining L2 units. The shortest total manufacturing lead time for the order is in the splitting of select one A. L1 # 98, L2-52. B. L1-91, L2 # 59. O D. LI # 100, L2-: 50. E. None of them

Answer 1

For the lot of 160 units :

Time taken by operation A =Set up time +run time

=30+160*10=1630

Time taken to move lot from A to B=10

Time taken by operation B =Set up time +run time

=40+160*6=1000

Total time =1630+10+1000=2640 minutes

The correct answer is option C.None of them

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In this case ,we split the lot into L1 and L2 such that the idle time at B is minimum or zero for the second lot L2.

Also since there is no queue at either workstations ,

Time taken by operation A for lot L2 + 10 >=Time taken by operation B for Lot L1

The difference between these times should be minimum or zero.

B9 Set up time Run time L1 time L2 time 970 485 Idle time 3 Operation A 4 Operation B 5 Total 30 1000 540 265 805 50 535 2350 97 53 7 L2 9 Total time 2355 10

The shortest total manufacturing lead time occurs at splitting lot into L1:97 and L2:53 with an idle time of 5 minutes.

Hence,the correct answer is option E.None of them